To find the average number of people living on each square mile of the county, we first need to calculate the area of the county, which is in the shape of a rectangle.
The area \( A \) can be calculated using the formula: \[ A = \text{length} \times \text{width} = 50 \text{ miles} \times 60 \text{ miles} \]
Calculating the area: \[ A = 50 \times 60 = 3000 \text{ square miles} \]
Next, we need to find the average population density, which is calculated by dividing the total population by the area: \[ \text{Population Density} = \frac{\text{Total Population}}{\text{Area}} = \frac{50000}{3000} \]
Calculating the population density: \[ \frac{50000}{3000} = \frac{500}{30} \approx 16.67 \]
Rounding to the nearest whole number, we find: \[ 17 \]
Thus, the average number of people living on each square mile of the county is 17.
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